148418edo
|
This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 148417edo | 148418edo | 148419edo → |
148418edo is a zeta peak edo, distinctly consistent through the 39-odd-limit. It marks the first equal temperament with lower relative errors after 16808 in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | +0.00029 | +0.00061 | -0.00002 | +0.00063 | +0.00112 | -0.00048 | +0.00076 | -0.00015 | +0.00143 | +0.00074 |
| Relative (%) | +0.0 | +3.6 | +7.6 | -0.3 | +7.8 | +13.8 | -6.0 | +9.4 | -1.8 | +17.7 | +9.2 | |
| Steps (reduced) |
148418 (0) |
235237 (86819) |
344616 (47780) |
416662 (119826) |
513442 (68188) |
549212 (103958) |
606653 (12981) |
630469 (36797) |
671378 (77706) |
721012 (127340) |
735292 (141620) | |
Subsets and supersets
Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.